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Simplifying (4x + 5)(4x + 4) = 0 Reorder the terms: (5 + 4x)(4x + 4) = 0 Reorder the terms: (5 + 4x)(4 + 4x) = 0 Multiply (5 + 4x) * (4 + 4x) (5(4 + 4x) + 4x * (4 + 4x)) = 0 ((4 * 5 + 4x * 5) + 4x * (4 + 4x)) = 0 ((20 + 20x) + 4x * (4 + 4x)) = 0 (20 + 20x + (4 * 4x + 4x * 4x)) = 0 (20 + 20x + (16x + 16x2)) = 0 Combine like terms: 20x + 16x = 36x (20 + 36x + 16x2) = 0 Solving 20 + 36x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(5 + 9x + 4x2) = 0 Factor a trinomial. 4((5 + 4x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.25, -1}
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